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Finding the Fourth Proportional to 542.81, 749.25 and 356.42

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Solution

The fourth proportional to 542.81, 749.25 and 356.42 is: 491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.81 : 749.25 = 356.42 : x
  2. Step 2: Convert to fraction form
    542.81/749.25 = 356.42/x
  3. Step 3: Cross multiply
    542.81x = 749.25 × 356.42
  4. Step 4: Simplify right side
    542.81x = 267,043.94
  5. Step 5: Solve for x
    x = 267,043.94/542.81
  6. Step 6: Final answer
    x = 491.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.